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Finding the Fourth Proportional to 2,298.83, 3,446.86 and 1,032.15

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Solution

The fourth proportional to 2,298.83, 3,446.86 and 1,032.15 is: 1,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.83 : 3,446.86 = 1,032.15 : x
  2. Step 2: Convert to fraction form
    2,298.83/3,446.86 = 1,032.15/x
  3. Step 3: Cross multiply
    2,298.83x = 3,446.86 × 1,032.15
  4. Step 4: Simplify right side
    2,298.83x = 3,557,662.77
  5. Step 5: Solve for x
    x = 3,557,662.77/2,298.83
  6. Step 6: Final answer
    x = 1,547.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.